"Goddess of geraniums" oh my!
I cut mine back in January, way back to about 2-3 inches high. I know it sounds drastic. Some of the cuttings are started for new plants. If you have space in your greenhouse and can keep it from freezing that would be the ideal place to put your pots of old plants. If you don't have a place with better light than your office, it wouldn't hurt to wait a while because new sprouts would get leggy really fast. I usually change about half the container soil when I cut them back. If using a mix with fertilizer I only use plain water. Around mid summer I use some fertilizer in the water because by then they have used up whatever came in the mix. In the fall after the first frost I dig the ones out of the big planters and move the smaller containers into the greenhouse for the winter. The more common Pelargoniums will handle 25 degrees but the Martha Washington ones are not as hardy. The plants get very little care in winter, just a light watering every few weeks.
The plants I dig out of the big planters are just plopped down into boxes lined with old potting soil bags. No extra soil, just what comes out on the roots. Usually they bloom before I get them cut back and replanted. They are tough. I'm late with the cutting back this year but I don't think it will make much difference.
If you have one with smaller more ivy shaped leaves and is stiffer and more "waxy, it might be a trailing variety. I have no experience with those because the wind rips apart any hanging plants I have tried.
I hope this helps.